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Question 1: Consider the following reaction: SO2Cl2(g)SO2(g)+Cl2(g) K c=2.99×107

ID: 1081732 • Letter: Q

Question

Question 1: Consider the following reaction:

SO2Cl2(g)SO2(g)+Cl2(g)
Kc=2.99×107 at 227 C

If a reaction mixture initially contains 0.195 MSO2Cl2, what is the equilibrium concentration of Cl2at 227 C??

Question 2:

Consider the reaction


CO(g)+H2O(g)CO2(g)+H2(g)
Kc=102 at 500 K

A reaction mixture initially contains 0.130 MCOand 0.130 MH2O.

What will be the equilibrium concentration of H2O?

Question 3:

The following reaction was performed in a sealed vessel at 768 C :

H2(g)+I2(g)2HI(g)

Initially, only H2 and I2 were present at concentrations of [H2]=3.65M and [I2]=2.70M. The equilibrium concentration of I2 is 0.0800 M . What is the equilibrium constant, Kc, for the reaction at this temperature?

Please explain and answer all! Thank you

Explanation / Answer

Question 1: Consider the following reaction:

SO2Cl2(g)SO2(g)+Cl2(g)
Kc=2.99×107 at 227
C

If a reaction mixture initially contains 0.195 MSO2Cl2, what is the equilibrium concentration of Cl2at 227 C??

Answer :-

Given reaction is in equilibrium,

so we can write

SOCl2

SO2

Cl2

Initial Concentration

0.195

0

0

Change in concentration

-x

+x

+x

Concentration After Equilibrium

0.195 -x

+x

+x

We can write an equation of reaction concentration as

K = [SO2][O2]/[SO2Cl2]

Lets fill the values from table in the formula


2.99 x 10^-7 = (x)(x)/(0.195 - x )


Neglect x in the 0.195 -x ( because X is very small, so lets consider it as only 0.195)

2.99 x 10^-7 = (x)(x)/0.195


x^2 = 5.8305*10^-8


x = 2.4146 *10^-4

X is nothing but the concentration of Cl2 gas

So, x = 2.18 x 10-4 M is our final answer.

Consider the reaction


CO(g)+H2O(g)CO2(g)+H2(g)
Kc=102 at 500 K

A reaction mixture initially contains 0.130 MCOand 0.130 MH2O.

What will be the equilibrium concentration of H2O?

Answer :-

Given reaction is in equilibrium,

so we can write

CO(g)

H2O(g)

CO2(g)

H2(g)

Initial Concentration

0.130 M

0.130 M

0

0

Change in concentration

-x

-x

+x

+x

Concentration After Equilibrium

0.130 -x

0.130 -x

+x

+x

We can write an equation of reaction concentration as

Ka = [CO2] [H2] / ([CO] [H2O])

Lets put the values in the formula

102 = (X)(X)/ (0.130 –x)*( 0.130 –x)

102 = (X)^2 / ( 0.130 –x)^2

Lest take a square root of this equation

10.10 = (X) / ( 0.130 –x)

10.10*(0.130 –x) = (X)

1.3130- 10.10 X= X

1.3130 = X + 10.10 X

1.3130 = 11.10 X

X = (1.3130)/ 11.10

X= 0.1183 M

Equilibrium concentration of H2O = 0.130- X

= 0.130-0.1183 M

= 0.0117 M

This is our final answer

The following reaction was performed in a sealed vessel at 768 C :

H2(g)+I2(g)2HI(g)

Initially, only H2 and I2 were present at concentrations of [H2]=3.65M and [I2]=2.70M. The equilibrium concentration of I2 is 0.0800 M . What is the equilibrium constant, Kc, for the reaction at this temperature?

Answer :-

Given reaction is in equilibrium,

so we can write

H2(g)+I2(g)2HI(g)

As per the given reaction

When 1 mole of I2 reacts with 1 mole of H2 then 2 moles of product (HI) is formed

So when 0.08 M of I2 reacts with 0.08 M of H2 then 1.6M (2*0.08M) of HI forms

H2

I2

2HI

Initial Concentration

3.65

2.70

0

Change in concentration

0.0800

0.0800(given )

1.6

Concentration After Equilibrium

(3.65-0.0800) =3.57

(2.70-0.0800)=

2.62

1.6

We can write an equation of reaction concentration as

K = [HI]^2/[H2] [I2]

Lets fill the values from table in the formula


K = [1.6]^2/[3.57] [2.62]


lets solve this for K

K = [1.6]^2/[3.57] [2.62]

K = [2.56]/[9.3534]

K =0.27370

SOCl2

SO2

Cl2

Initial Concentration

0.195

0

0

Change in concentration

-x

+x

+x

Concentration After Equilibrium

0.195 -x

+x

+x

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